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Finding the Fourth Proportional to 10,694.96, 16,020.60 and 6,299.12

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Solution

The fourth proportional to 10,694.96, 16,020.60 and 6,299.12 is: 9,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.96 : 16,020.60 = 6,299.12 : x
  2. Step 2: Convert to fraction form
    10,694.96/16,020.60 = 6,299.12/x
  3. Step 3: Cross multiply
    10,694.96x = 16,020.60 × 6,299.12
  4. Step 4: Simplify right side
    10,694.96x = 100,915,681.87
  5. Step 5: Solve for x
    x = 100,915,681.87/10,694.96
  6. Step 6: Final answer
    x = 9,435.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.